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Table 6 Statistical analysis of optimal clustering configurations (complete clustering) by graph type and node resilience measure using selected ASD outcome measures

From: Applications of node-based resilience graph theoretic framework to clustering autism spectrum disorders phenotypes

Cluster (size) ABC overall RBS R overall ADOS CSS Vineland composite score Overall IQ PPVTA 4A Epilepsy
kNN 2 Integrity k=3  
C0 (1903) 45.73(25.8) 27.31(18.1) 7.37(1.7) 75.72(10.9) 88.19(23.5) 91.51(24.7) 1.74%
C1 (189) 54.08(24.6) 29.01(13.8) 7.58(1.5) 57.57(9.6) 38.91(18.7) 41.75(22.3) 6.91%
C2 (588) 47.55(25.9) 26.26(16.3) 7.63(1.6) 70.58(12.3) 69.99(27.6) 72.41(28.8) 2.73%
ANOVA p-value < 0.001 0.15 0.003 < 0.001 < 0.001 < 0.001  
Tukey HSD (NS ) C0:C2 All pairs C1:C0,C2 None None None  
Eta-squared (η2) 0.007 0.001 0.004 0.157 0.244 0.209  
kNN 2 VAT k=4  
C0 (811) 50.86 (28.0) 31.76 (19.6) 7.48 (1.7) 72.69 (10.3) 80.06 (22.8) 82.98 (24.1) 2.47%
C1 (219) 60.02 (28.5) 32.33 (17.4) 7.68 (1.5) 57.74 (9.4) 39.55 (18.7) 41.93 (21.3) 5.99%
C2 (1117) 41.55 (22.2) 23.89 (15.4) 7.24 (1.7) 78.16 (10.4) 94.77 (20.8) 98.34 (22.1) 1.25%
C3 (535) 45.73 (25.2) 25.08 (16.0) 7.70 (1.6) 70.50 (12.8) 69.12 (28.2) 71.39 (29.1) 2.82%
ANOVA p-value < 0.001 < 0.001 < 0.001 < 0.001 < 0.001 < 0.001  
Tukey HSD (NSa) None C0:C1;C2:C3 C0:C1,C3 C1:C3 None None None  
Eta-squared (η2) 0.047 0.046 0.013 0.212 0.322 0.288  
kNN 2 Tenacity k=5  
C0 (535) 67.12(21.5) 41.78(18.2) 7.30(1.7) 73.71(9.7) 91.46(21.6) 96.46 (23.8) 1.31%
C1 (497) 36.57(19.6) 22.10(12.6) 7.40(1.6) 74.56(10.2) 80.65(22.5) 82.57 (23.4) 2.42%
C2 (781) 33.78(19.3) 18.34(11.4) 7.22(1.7) 78.85(11.0) 92.99(22.8) 96.59(22.9) 1.41%
C3 (484) 44.05(23.9) 25.35(15.5) 7.58(1.7) 74.29(11.0) 79.31(23.7) 81.04(24.4) 2.07%
C4 (383) 61.19(27.5) 33.83(18.9) 7.97(1.5) 58.62(9.5) 42.20(19.4) 44.86(22.8) 5.76%
ANOVA p-value < 0.001 < 0.001 < 0.001 < 0.001 < 0.001 < 0.001  
Tukey HSD (NS ) C1:C2 none C0:C1,C2,C3 C1:C2,C3 C0:C1,C3 C1:C3 C0:C2;C1:C3 C0:C2;C1:C3  
Eta-squared (η2) 0.274 0.253 0.022 0.272 0.361 0.333  
kNN 3 Integrity k=5 corr  
C0 (462) 66.56(24.0) 41.65(18.3) 7.54(1.7) 73.26(9.6) 87.95(22.9) 92.57(24.5) 0.87%
C1 (276) 57.20(27.4) 29.89(15.5) 7.39(1.4) 57.38(8.9) 37.27(17.8) 39.84(21.8) 5.82%
C2 (743) 33.48(18.7) 17.39(10.6) 7.18(1.7) 79.86(10.6) 96.22(20.6) 99.49(21.6) 1.62%
C3 (744) 46.25(24.8) 28.80(17.8) 7.53(1.6) 72.53(10.4) 78.72(23.3) 80.97(24.9) 3.10%
C4 (455) 42.58(23.2) 24.26(14.9) 7.66(1.8) 73.63(12.0) 77.54(25.2) 79.01(26.2) 1.54%
ANOVA p-value < 0.001 < 0.001 < 0.001 < 0.001 < 0.001 < 0.001  
Tukey HSD (NS ) C3:C4 C1:C3 C0:C1,C3,C4 C1:C2,C3,C4 C3:C4 C0:C3,C4 C3:C4 C3:C4 C3:C4  
Eta-squared (η2) 0.197 0.215 0.011 0.258 0.354 0.306  
  1. aNS: implies pairs for which Tukey HSD test was not significant
  2. The mean and standard deviation values are presented for each measure